Topics in Mathematical Modeling (eBook)

Ka-Kit Tung (Autor)

eBook Download: EPUB

2016
336 Seiten
Princeton University Press (Verlag)
978-1-4008-8405-6 (ISBN)

Infos

TungK. K.:

K. K. Tung is Professor and Chairman of the Department of Applied Mathematics at the University of Washington. He is the author or coauthor of more than eighty research papers in atmospheric sciences and applied mathematics, and editor or chief editor of two journals in these fields.K. K. Tung is Professor and Chairman of the Department of Applied Mathematics at the University of Washington. He is the author or coauthor of more than eighty research papers in atmospheric sciences and applied mathematics, and editor or chief editor of two journals in these fields.

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Topics in Mathematical Modeling is an introductory textbook on mathematical modeling. The book teaches how simple mathematics can help formulate and solve real problems of current research interest in a wide range of fields, including biology, ecology, computer science, geophysics, engineering, and the social sciences. Yet the prerequisites are minimal: calculus and elementary differential equations. Among the many topics addressed are HIV; plant phyllotaxis; global warming; the World Wide Web; plant and animal vascular networks; social networks; chaos and fractals; marriage and divorce; and El Nino. Traditional modeling topics such as predator-prey interaction, harvesting, and wars of attrition are also included. Most chapters begin with the history of a problem, follow with a demonstration of how it can be modeled using various mathematical tools, and close with a discussion of its remaining unsolved aspects. Designed for a one-semester course, the book progresses from problems that can be solved with relatively simple mathematics to ones that require more sophisticated methods. The math techniques are taught as needed to solve the problem being addressed, and each chapter is designed to be largely independent to give teachers flexibility. The book, which can be used as an overview and introduction to applied mathematics, is particularly suitable for sophomore, junior, and senior students in math, science, and engineering.

Produkt-Details

• Erscheint lt. Verlag: 14.6.2016
• Zusatzinfo: 31 halftones. 52 line illus. 5 tables.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Schlagworte: acceleration • Addition • age of the earth • age of the universe • algebraic equation • Approximation • Astronomer • Atmosphere of Earth • atomic number • Billion years • Calculation • Carbon dioxide • Carrying Capacity • Cartesian coordinate system • chaos theory • Climate • climate model • clockwise • coefficient • compound interest • convection • Depensation • differential equation • Dynamical system • earth • Eigenvalues and Eigenvectors • Elliptic orbit • El Niño–Southern Oscillation • Equation • exponential growth • Fibonacci • Fibonacci Number • fishery • fractal dimension • Geometric series • global warming • Gravity • Greenhouse Gas • Herbivore • ice sheet • Initial Condition • insect • Interest Rate • irrational number • Iteration • Johannes Kepler • Kepler's laws of planetary motion • linear differential equation • linear equation • Linear Function • linear stability • Logarithmic spiral • logistic function • logistic map • Lorenz System • mathematical model • Mathematical problem • mathematician • Mathematics • Meristem • Natural Frequency • Newton's law of universal gravitation • Newton's laws of motion • nonlinear system • ordinary differential equation • Parameter • partial derivative • partial differential equation • Payment • Periodic function • physicist • Polar coordinate system • population density • population dynamics • power law • Prediction • Probability • Proportionality (mathematics) • Quadratic equation • Quantity • Radiocarbon Dating • Radiometric dating • rule of 72 • Scale insect • Sea Surface Temperature • Snowball Earth • Solar mass • spouse • Summation • Surface Area • Temperature • Temperature Gradient • Textbook • Thermal Conduction • Thermocline • Thermodynamic Temperature • Time Series • trade winds • two-dimensional space • year
• ISBN-10: 1-4008-8405-5 / 1400884055
• ISBN-13: 978-1-4008-8405-6 / 9781400884056